SP7 General Insurance

Re-Insurance

Re-insurance Industry Size

RE-insurance companies are massive

But there are relatively few of them

The figures in the table below are in millions

Upto date news on re-insurance can be found on the website Reinsurance News

RankingReinsurance Company NameGross Life & Non-Life Reinsurance Premiums WrittenNet Life & Non-Life Reinsurance Premiums WrittenGross Non-Life Only Reinsurance Premiums WrittenNet Non-Life Only Reinsurance Premiums WrittenShareholders Funds (2)Loss Ratios (3)Expense Ratios (3)Combined Ratios (3)
1Munich Reinsurance Company$46,836$44,417$32,610$31,482$35,04768.70%30.90%99.60%
2Swiss Re Ltd.$39,202$36,965$23,131$22,381$23,67867.40%29.70%97.10%
3Hannover Ruck S.E.$31,443$27,344$21,773$18,827$14,44769.30%28.70%98.00%
4Canada Life Re$23,547$23,514N/AN/A$23,854N/AN/AN/A
5SCOR S.E.$19,933$16,242$9,319$7,939$7,25172.00%28.60%100.60%
6Berkshire Hathaway Inc.$19,906$19,906$14,285$14,285$514,93071.90%23.30%95.10%
7Lloyd's$19,343$14,263$19,343$14,263$48,24265.80%29.40%95.20%
8China Reinsurance (Group) Corporation$17,808$16,181$6,956$6,608$16,10466.60%28.40%95.10%
9Reinsurance Group of America Inc.$13,348$12,513N/AN/A$13,014N/AN/AN/A
10Everest Re Group Ltd.$9,067$8,536$9,067$8,536$10,13971.60%26.50%98.10%
11PartnerRe Ltd.$8,204$7,134$6,557$5,511$7,54464.60%25.90%90.50%
12RenaissanceRe Holdings Ltd.$7,834$5,939$7,834$5,939$7,07874.60%27.50%102.10%
13Korean Reinsurance Company$7,145$5,102$6,043$4,078$2,12686.40%14.20%100.60%
14Transatlantic Holdings, Inc.$6,034$5,387$6,034$5,387$5,39869.20%30.20%99.50%
15General Insurance Corporation of India$5,821$5,172$5,630$4,987$7,93888.80%19.30%108.10%
16AXA XL$5,480$4,313$5,480$4,313$13,13972.60%31.20%103.80%
17Arch Capital Group Ltd.$5,094$3,254$5,094$3,254$13,54667.80%26.40%94.20%
18MS&AD Insurance Group Holdings, Inc.$4,393N/A$4,393N/A$14,668N/AN/A97.70%
19Pacific LifeCorp$4,098$3,620N/AN/A$17,005N/AN/AN/A
20Sompo International Holdings, Ltd.$3,855$3,417$3,855$3,417$7,43363.50%29.50%93.10%
21MAPFRE RE, Compania de Reaseguros S.A.$3,719$3,165$3,080$2,534$2,03569.30%28.70%98.10%
22Assicurazioni Generali SpA$3,670$3,670$1,242$1,242$36,10183.50%27.90%111.40%
23R+V Versicherung AG$3,421$3,421$3,421$3,421$2,43576.00%26.30%102.20%
24Validus Reinsurance, Ltd.$3,171$2,452$3,171$2,452$3,54872.40%28.60%101.00%
25The Toa Reinsurance Company, Limited$2,988$2,453$2,127$1,690$2,61477.60%32.50%110.20%
26Liberty Mutual$2,945N/A$2,945N/A$27,84862.00%33.20%95.20%
27Odyssey Re Holdings Corp.$2,842$2,709$2,842$2,709$5,22075.10%24.90%100.00%
28Axis Capital Holdings Limited$2,823$2,032$2,823$2,032$5,41173.20%26.50%99.70%
29Taiping Reinsurance Co. Ltd.$2,339$2,051$1,447$1,229$1,50771.00%32.90%103.90%
30Peak Reinsurance Company Ltd.$2,145$1,794$1,899$1,591$1,47075.80%26.20%102.10%
31Caisse Centrale de Reassurance$2,144$1,964$1,968$1,792$3,19150.00%16.80%66.90%
32Qianhai Reinsurance Co., Ltd.$1,994$1,154$410$350$52175.50%25.10%100.50%
33QBE Insurance Group Limited$1,662$1,482$1,662$1,482$8,88266.60%6.10%72.80%
34Aspen Insurance Holdings Limited$1,597$1,199$1,597$1,199$2,77563.00%30.60%93.60%
35Deutsche Rueckversicherung AG$1,577$1,042$1,475$1,000$35176.30%29.20%105.50%
36IRB - Brasil Resseguros S.A.$1,552$984$1,552$984$644101.50%30.50%132.00%
37Tokio Millennium Re AG$1,483$1,178$1,483$1,178$17,148N/AN/A100.90%
38SiriusPoint Ltd.$1,350$1,125$1,350$1,125$2,50382.60%33.70%116.20%
39Fidelis$1,289$573$1,289$573$2,07884.00%27.60%111.60%
40Markel Corporation$1,246$1,126$1,246$1,126$14,69573.90%31.40%105.30%
41W.R. Berkley Corporation$1,228$1,119$1,228$1,119$6,65361.00%29.70%90.70%
42Lancashire$1,225$816$1,225$816$1,41367.60%41.30%108.90%
43Allied World Assurance Company Holdings, AG$1,201$1,106$1,201$1,106$4,79275.40%25.70%101.10%
44American Agricultural Insurance Company 11$927$247$927$247$67282.60%4.10%86.70%
45Chubb Limited$873$873$873$873$59,71479.20%29.40%108.60%
46African Reinsurance Corporation$845$666$783$612$1,00156.80%36.70%93.50%
47Hiscox Ltd.$808$274$808$274$2,53940.80%29.70%70.60%
48Somers Re$783$705$783$705$94380.60%23.70%104.30%
49DEVK Re$759$699$754$694$14,44776.30%28.40%104.70%
50Central Reinsurance Corporation$755$702$645$595$69867.90%27.60%95.50%

Source of data

Old slide (see how things have changed)

The Piper Alpha disaster has been turned into a film: Fire in the Night

Large Insurance Claims by Class (commercial website - take care)

Largest Claims of All Time (commercial website - making claims look as large as possible)

History of Famous Claims affecting the Lloyd's Market Lloyd's website (authoritative source)

Why Purchase Reinsurance



Limitation of exposure to risk

Consider:

Liability

Unlimited cover policies

Important for small to medium sized companies

Smoothing of Results

Shareholders may prefer business results which show consistent year on year profit even if the average or expected profit is less

Increase profitability

If a good price is obtained for re-insurance then it can increase profit

Improve solvency margins

Reducing the volatility of the claims experience reduces the capital needed to support risk and so improves the solvency of the insurer

Increase capacity to accept risk

Improved solvency of the insurer means that additional business can be written potentially increasing the profit realised

Availability of expertise to develop new markets and products

Re-insurers are often very large insurers themselves and have considerable in-house expertise in many markets. This expertise can be made available to the ceding insurer as part of the contract.

Video

Facultative Reinsurance

Each risk is offered individually

No duty on ceder to offer risk

No duty on reinsurer to accept risk

Advantages

Allows each risk to be re-insured on its own terms

Enables insurance company to perfectly match its insurance needs

Disadvantages

Time consuming and costly

No certainty cover will be offered

Price and terms may not be acceptable

May have to speak to reinsurer before accepting a large risk

Usually only used for large one-off risks

Treaty Reinsurance

Usually arranged so that both:

Treaty will set out terms on which risk is passed from ceder to reinsurer

Occasionally treaties are written on a facultative/obligatory basis:

Ceder has choice

Reinsurer is obliged to accept risk

Advantages

Re-insurer guarantees to accept business on terms set out in treaty

Disadvantages

Lack of flexibility

Insurer may prefer not to re-insure some risks on the defined terms

Bulk of re-insurance is provided this way

Reinsurance Methods


Note: Finite Risk Re-insurance

Finite Risk re-insurance comes in various forms, but it is essentially structured as reinsurance from a legal point of view but not from an actuarial points of view.

For example, if you buy reinsurance for a tranche of risk where claims are certain then you pay the premium at the start and get the guaranteed claim at the end.

So it is just an investment but legally (and therefore for tax and regulatory purposes it is insurance)

Quota share


Constant apportionment of all premiums and claims between ceder and reinsurer for all risks covered by the treaty

Disadvantages

Treats high variance and low variance risks the same

Treats large and small risks the same

Passes a share of profit to the reinsurer

Advantages

Spreads risk

Encourages reciprocal business

Can improve solvency ratio

Simple to administer

Commission may help with cashflow

Can help new small insurers take on business at all

Constant apportionment of all premiums and claims between ceder and reinsurer for all risks covered by the treaty

Cedant experience

Cedant's loss ratio will be basically the same.

Quota share simply allows small business to take on risk they could not otherwise take on.

Expenses and commissions will have some impact on this

Reinsurer Experience

Reinsurer can refuse to participate in the treaty if not happy with any of the terms of the business.

They could also reduce the commissions payable or set profit thresholds for the payment of commission.

They may insist on being involved in claims handling for large claims as well.

Surplus Reinsurance



Proportion of risk decided by ceder for each risk, subject to terms of treaty

Disadvantages

Administration more complicated than quota share

Unsuitable for personal lines where potential losses are small

Unsuitable for unlimited covers such as motor liability

Advantages

Spreads risk

Insurer can choose to retain some of the risks

Useful where there is a large variety in the nature of the risk

Commission may help with cashflow

Proportion of risk decided by ceder for each risk, subject to terms of treaty

Cedant experience

Cedant can choose which risks it intends to cede

Cedant can retain varying proportions of each risk

Reinsurer Experience

Re-insurer will not experience the same underwriting experience as the insurer

Likely to have a greater share of the larger and more volatile risks

This should be reflected in premiums and commission paid for the business

Surplus Reinsurance - Terminology

Estimated maximum loss (EML)

The largest loss that is reasonably expected to arise from a single risk

Maximum retention

The maximum level of retention for any risk to be included in the treaty

Minimum retention

The minimum level of retention that the reinsurer requires the insurer to hold to prevent them from having too little interest in the risk

Number of lines of cover

This is specified in the contract and is used to calculate the maximum cover available from the reinsurer. It is how many times the max retention that the reinsurer can be liable for, for a given risk

Determination of proportion ceded

For each risk cedant selects the amount of risk it wished to retain between the stipulated minimum and maximum. The number of lines of cover ceded for this risk is then the multiple of the retained risk that is passed to the reinsurer based on the Estimated maximum loss.

Example

A reinsurance treaty for the shipping book has a maximum retention of £5m and minimum retention £1m. The maximum lines of cover available is 20.

The cedant wishes to take on a risk of £55m.

What is the minimum retention on this risk for the cedant?

55m / 21 = £2.62m

What is the minimum number of lines of cover that the cedant will have to pass to the reinsurer?

(55m - 5m) / 5m = 10

Video

Non-Proportional (Excess of Loss)

With XL reinsurance, the reinsurer covers losses exceeding a predefined excess point, usually with a upper limit. The insurer may then purchase multiple additional layers of reinsurance.

Cedant's experience will be different from the reinsurer's. The cedant will typically experience lower volatility than if they were uninsured and the reinsurer would typically experience much higher volatility.

Proportion of risk decided by ceder for each risk, subject to terms of treaty

Disadvantages

Can be difficult to price (tail-distributions)

Reinsurer expects to profit from business so on average reinsurance premiums will exceed recoveries

Advantages

Allows insurer to accept large risks

Can allow more efficient use of capital

Stabilises technical results

Reduces exposure to catastrophe

Terminology

Retention / deductible

The amount of loss retained by the cedant

Hours clause

Used in catastrophe reinsurance - the limit of time for which events can be considered part of the same event. Typically 24 hours to several days.

Increased limit factors

Ratio of the expected loss for a given limit to the expected loss for a basic limit. This would then be applied to the basic premium as a way of simply ratioing up a premium for a larger risk.

Eg if the expected loss for a basic limit of £1m was £100,000 and the expected loss for a limit of £2m was £140,000, then the expected loss cost would be 40% more

Indexed limits

Where inflation could be a significant factor - indexed limits can be used to ensure reinsurer does not get an increasing proportion of risk just because of price changes

Working Layer

First layer above the cedant's retention where significant loss activity is expected. Premiums can vary with claims experience for working layer reinsurance (in a 'no claims discount sort of way').

Reinstatements

These allow treaty to be extended after a number of separate events have exhausted the XL treaty limit

Losses Occurring

These policies cover all claims made where the claim occurred during the period of cover of the reinsurance contract

Risks Attaching

These policies cover all claims made in respect of policies which incepted during the period of cover of the reinsurance contract

Types (Non-Proportional (Excess of Loss))

Risk XL

Protects against large individual losses

Important that the upper limit is sufficiently high

Aggregate XL

Protects against an aggregate amount of losses in excess of a specified amount

Important that the upper limit is sufficiently high

Many different ways of defining policies - much care in policy wording required

Tends to be only for one event causing the large loss - reinstatements then needed after that

Catastrophe XL

Aggregate XL where losses derive from a specific catastrophic event

Much higher level of aggregate cover than aggregate XL

Care needed over definition of single event

Stop Loss

Covers total losses over a given period

Different from Cat and aggregate in that it covers the accumulation from multiple events

Can be monetary amount or percentage of written premiums

Risk XL


Agregate XL and Cat XL


Stop Loss


Video (Excess of Loss)

The following video gives a simple illustration of the de-leveraging of different methods

Video (de-leverage simple)

The spreadsheet is here

The following video investigates how the different methods de-leverage using a monte carlo model

Video (de-leverage monte carlo)

The spreadsheet is here

Capital Market Products

Insurance linked securities

Better known as cat bonds - insurance companies issue a bond to the capital market which pays a regular coupon and redemption payment

In the event of prescribed catastrophe bond defaults providing relief to insurer


Structured finance

Reinsurers can provide financial guarantee or credit insurance to institutions borrowing from the capital markets

Credit securitisation

The insurer provides an insurance wrapper to some kind of debt instrument. Can be used by banks to provide capital relief or companies to provide credit protection


Credit securitisation - example


Committed capital / contingent capital

The insurer purchases an option to issue its securities at a predetermined price in the event of a prescribed adverse event

Industry loss warranties

This is a contract where the payout is based on the loss incurred in the entire industry, rather than a particular book of business

Run off Reinsurance

Reinsuring risks from business already written and exposed

Largely used in the event of corporate restructuring but may also be used to manage the risk of legislation change or legal rulings etc

Adverse development cover

Typically the reinsurer will underwrite any losses on the book of business which exceed a pre-agreed amount

Cedant may retain some proportion above this amount to avoid moral hazard with payment procedures

Cedant retains liability in the legal sense

Loss portfolio transfer

Liability for a block of business is passed in its entirety to another insurer

Legal liability passes to new insurer as well and may need to be approved by a court

Can improve the credit rating of the cedant and give diversification to the reinsurer

May involve crystallization of assets with tax implications, buy-in from reinsurers or contamination of reputational risk from reinsurer if they default

Retrocession

This is a reinsurance of reinsurance

The cedant is called the retrocedent and the reinsurer is called the retrocessionaire

Specialist area of business, typically excess of loss

Reasons for purchasing retrocession are essentially the same as reasons for purchasing reinsurance

Fronting

This is where the insurer passes all (or nearly all) of the business to the reinsurer and effectively acts as a sales channel

May be a way of getting round licensing and credit rating issues

Also may improve tax efficiency

Fronting company retain the legal liability and should be very confident of the reinsurer

Captives

Insurance companies can set up a captive to self reinsure. This may have legislative compliance or tax advantages

Video

Reserving of Reinsurance

Short tailed business

Generally property, marine and aviation type policies as well as many catastrophe type situations

Generally relatively easy to reserve for using a simple chain ladder or even expected loss ratio approach

Sometimes a more granular approach is taken and claims development may be looked at over months or even weeks so that the timing of catastrophe claims can be analysed more accurately

Medium/long term business

Medium tailed might be construction and high excess property

Long tailed might be casualty aggregate excess or facultative casualty

Chain ladder methods still common with Bornheutter Ferguson or Cape Cod

Results much more volatile and subject to interpretation

Data Issues (reinsurance reserving)

Fundamentally reserving for reinsurance the same as for insurance but there are many more data issues to overcome

Heterogeneity of data

As all the different insurers may have different types of policies and different styles of the same policy then even data that should be homogenous could be quite heterogeneous

There are also relatively few industry benchmarks available for reinsurance data

Sparse data

For high excess infrequent claims there may be very little data on which to base analysis

Grouping

Reinsurers may consider extra data grouping such as business of origin or type of contract

Claims reporting delays

Claims reporting delays longer even for proportional contracts as notification often only required quarterly

For excess of loss there can be many more people in the process before the claim amounts are agreed adding to the time delay

Systems

Reinsurers are reliant on the data provided by the insurer which may be grouped together in ad-hoc ways which vary from insurer to insurer and do not allow easy comparison.

Greater upside risk to claims

This is the case for non-proportional where many claims have a longer period to settlement and can be of a liability nature - so incurring more risk of claims inflation biting in the time it takes for the claim to be settled

Outwards - reinsurance (ie the reinsurance we buy as an insurance company)

A number of methods can be used or a mix of methodologies can also be used

Use data gross and net of reinsurance

Reserve for gross losses as normal and then apply the same methodology to the data net of reinsurance claims

Use standard reserving techniques on claims and premiums

Triangulate reinsurance premium and claims amounts in the normal way and then apply standard reserving techniques to them

Apply broad brush factors to projected gross data

Can be used where proportional reinsurance is being applied and the cession percentage is known in which case it is simple and accurate

Case by case reserving

Simple approach where we only reserve for reinsurance on the largest and most serious claims

Developing individual losses

Fully bespoke approach to every individual loss which is developed to completion and the reinsurance implication are then modeled and calculated so that the reinsurance claims can be calculated exactly

Video